The course aims to study volumes of rotation, integration techniques, partial derivatives and local extrema of two variable functions, double integrals,
infinite sequences and series, convergence test for series, absolute and conditional convergence, and Taylor polynomials and power series.

Textbook

Thomas' Calculus, Twelvth Edition, Weir, Hass, Giordano

Learning Outcomes

After successful completion of the course, the student will be able to:

Infinite Sequences and Series

compute vector-valued functions and motion in space

use partial derivatives

perform multiple integrals

model integration in vector fields

Teaching Methods

Class lectures with lots of examples. Active tutorial sessions for engaged learning and continuous feedback on progress. Quizzes with more challenging or theoretical assignments.

WEEK

TOPIC

REFERENCE

Week 1

Volumes of solids by disk and washer method

6.1, 6.2.

Week 2

Volumes by shell method, derivatives and integrals of exponential functions